Supersymmetry and the spontaneous breaking in lattice simulations

2018 Fiscal Year Final Research Report

• Project/Area Number: 16K13798
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: University of Tsukuba
• Principal Investigator: UKITA NAOYA 筑波大学, 計算科学研究センター, 研究員 (50422192)
• Research Collaborator: KADOH daisuke 慶應義塾大学, 自然科学研究教育センター(日吉), 訪問研究員 (90447219)
• Project Period (FY): 2016-04-01 – 2019-03-31
• Keywords: 超対称性 / グラディエントフロー方程式 / 格子ゲージ理論 / 非摂動効果

Outline of Final Research Achievements

In this study, we developed a systematic and non-perturbative analysis method that can detect spontaneous supersymmetry breaking. Using a gradient flow equation, we give a formulation of the energy and momentum tensor that does not depend on any regularization. Once the energy and momentum tensor on the lattice can be constructed, in principle the measurement of vacuum energy can be performed by numerical calculation, and the spontaneous breaking of supersymmetry can be determined. It is also a highly versatile method that does not depend on the model's inherent properties.

Free Research Field

素粒子物理学

Academic Significance and Societal Importance of the Research Achievements

本研究の進展により、計算格子超対称性とでも呼ぶべき分野が開拓され、大統一理論、暗黒物質の起源をはじめ、超弦理論を背景とする宇宙創成の問題やAdS/CFT対応など、超対称性や超対称性の破れと関連した多様な物理にこれまでにない角度から切り込み考察できるようになった。